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Finding the Fourth Proportional to 495.90, 743.34 and 333.63

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Solution

The fourth proportional to 495.90, 743.34 and 333.63 is: 500.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    495.90 : 743.34 = 333.63 : x
  2. Step 2: Convert to fraction form
    495.90/743.34 = 333.63/x
  3. Step 3: Cross multiply
    495.90x = 743.34 × 333.63
  4. Step 4: Simplify right side
    495.90x = 248,000.52
  5. Step 5: Solve for x
    x = 248,000.52/495.90
  6. Step 6: Final answer
    x = 500.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.